Now showing items 29-48 of 49

• #### On sums involving Fourier coefficients of Maass forms for SL(3,Z) ﻿

(2016-09-10)
We derive a truncated Voronoi identity for rationally additively twisted sums of Fourier coefficients of Maass forms for SL(3,Z), and as an application obtain a pointwise estimate and a second moment estimate for the sums ...
• #### On the absolute divergence of Fourier series in the infinite dimensional torus ﻿

(Colloquium Mathematicum, 2019-03-22)
• #### Two-weight mixed norm estimates for a generalized spherical mean Radon transform acting on radial functions ﻿

(SIAM Journal on Mathematical Analysis, 2018)
We investigate a generalized spherical means operator, viz. generalized spherical mean Radon transform, acting on radial functions. We establish an integral representation of this operator and find precise estimates of ...
• #### Unique determination of the electric potential in the presence of a fixed magnetic potential in the plane ﻿

(2018-12)
For electric and magnetic potentials with compact support, we consider the magnetic Schrödinger equation with fixed positive energy. Under a mild additional regularity hypothesis, and with fixed magnetic potential, we show ...
• #### Vector-valued extensions for fractional integrals of Laguerre expansions ﻿

(Studia Math., 2018)
We prove some vector-valued inequalities for fractional integrals defined for several orthonormal systems of Laguerre functions. On the one hand, we obtain weighted $L^p-L^q$ vector-valued extensions, in a multidimensional ...
• #### Vector-valued operators, optimal weighted estimates and the $C_p$ condition ﻿

(Science China Mathematics, 2018-09)
In this paper some new results concerning the $C_p$ classes introduced by Muckenhoupt and later extended by Sawyer, are provided. In particular we extend the result to the full range expected $p>0$, to the weak norm, to ...
• #### Weak and strong $A_p$-$A_\infty$ estimates for square functions and related operators ﻿

(Proceedings of the American Mathematical Society, 2017-07)